I forgot how to do this (2x+3)(x-1)

Alma has to utilize 6/5 glasses of blue paint and 6/5 mugs of ruddy paint with the 2 mugs of white paint to create 2 glasses of her favorite shade of purple paint.

To form 5 mugs of purple paint, Alma makes use of 3 mugs of blue paint, 1frac{1}{2} glasses of ruddy paint, and frac{1}{2} a container of white paint.

So, to form 1 container of purple paint, she has to utilize:

3/5 glasses of blue paint

1frac{1}{2}/5 cups of ruddy paint

frac{1}{2}/5 mugs of white paint

Presently, Alma needs to form 2 glasses of purple paint utilizing 2 glasses of white paint.

Since she already has frac{1}{2} a container of white paint, she as it were needs another 1frac{1}{2} mugs of white paint.

To form 2 glasses of purple paint, Alma must twofold the sum of each color utilized to create 1 glass of purple paint.

In this way, she will require:

2 * 3/5 = 6/5 glasses of blue paint

2 * 1frac{1}{2}/5 = 3/5 + 3/5 = 6/5 glasses of ruddy paint

2 * frac{1}{2}/5 = 1/5 cups of white paint

Since she as of now has 2 glasses of white paint, she will as it were ought to utilize 1/5 glasses of the white paint that she as of now has.

Subsequently, Alma has to utilize 6/5 glasses of blue paint and 6/5 mugs of ruddy paint with the 2 mugs of white paint to create 2 glasses of her favorite shade of purple paint.

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A standard poker deck of cards contains 52 cards, of which four are jacks.

let A is first card is an jacks.

B is second card is not an jacks.

Now we need to calculate the probability that the first card is a jacks and the second card is not a jacks .

Which can be calculate as:

P (A and B) = P(B | A) x P (A)

There are 52 card in which four are jacks and all cards are equally likely.

Therefore,

P(A) = \(\frac{4}{13}\)

P(A) = \(\frac{1}{13}\)

Now let us find the value of P(B | A)

B|A means the second card is not a jacks , provided that first card is a jacks .

As the first drawn card was jacks , that means now we have only 3 jacks card in the deck and total 51 cards in the deck.

Now, the total number of cards that are not jacks is 51-3 = 48 cards.

So we can the probability of  P(B | A) is:

P(B | A) = \(\frac{48}{51}\)

P(B | A) = \(\frac{16}{17}\)

Now, substitute the respective values in P (A and B) = P(B | A) x P (A).

P (A and B) = \(\frac{16}{17}\) × \(\frac{1}{13}\) = 0.0724

Hence, the probability that the first card is a jacks  and the second card is not a jacks  is 0.0724.

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Answer:

k = 29

Step-by-step explanation:

The sum of the two angles is 180 since they form a straight line

5k-3 + 9+k = 180

Combine like terms

6k +6 = 180

Subtract 6 from each side

6k = 174

Divide each side by 6

6k/6 = 174/6

k =29

Answer:

k=29

Step-by-step explanation:

The probability that the person selected will be someone whose response is never and who is a woman is 0.0636 = 6.36%.

A probability of an occurrence in the context of a problem is calculated by dividing the desired outcomes in the problem by the entire number of outcomes in the problem.

In the context of this problem, these outcomes are given as follows:

Desired outcomes: people whose response is never and who are women.

Total outcomes: all participants.

Hence, as all participants represent the desired outcomes, the probability that the person selected will be someone whose response is never and who is a woman is the relative frequency of people who are women and who respond never, which is: 0.0636 = 6.36%.

Missing question:

(Refer to the image for the complete question)

One person surveyed will be selected at random:

What is the probability that the person selected will be someone whose response is never and who is a woman?

What is the probability that the person selected will be someone whose response is never 0r who is a woman?

What is the probability that the person selected will be someone whose response is never given and that the person is a woman?

For the people surveyed are the events of being a person whose response is never and being woman independent?

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The given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.

To show continuity, we need to verify that the partial derivatives of ψ and φ with respect to x and y are equal. Let's calculate these partial derivatives:

∂ψ/∂x = 2y

∂ψ/∂y = 2x

∂φ/∂x = 2x

∂φ/∂y = -2y

From the above calculations, we can see that the partial derivatives of ψ and φ with respect to x and y are equal. Therefore, the condition for continuity, which requires the equality of partial derivatives, is satisfied.

To show irrotational flow, we need to verify that the curl of the velocity vector is zero. The velocity vector can be obtained from the stream function ψ and velocity potential φ as follows:

V = ∇φ x ∇ψ

Taking the curl of V:

∇ x V = ∇ x (∇φ x ∇ψ)

Using vector calculus identities and simplifying the expression, we find:

∇ x V = 0

Since the curl of the velocity vector is zero, the condition for irrotational flow is satisfied.

Therefore, based on the calculations and verifications, we can conclude that the given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.

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Answer:

S, BB, J

Step-by-step explanation:

Because you are going greatest (positive) to least (negative)

Highest to lowest

Answer:

Second choice, 4/3

Step-by-step explanation:

With the two point already highlighted, find the difference they have in x and y.  (-1, 2) and (2, 2)

x = -1 - 2 = -3

y = -2 - 2 = -4

The slope is y/x so it would be -4/-3 or just 4/3 because the negatives cancel each other out and they mean the same anyway.

An easier way would to just draw a slope triangle from the two points and count the squares they have. 4 squares going up and 3 squares going to the right = 4/3

You can make 4.75 batches of muffins from 1 pound of sugar bag.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the value of a single unit to get the necessary value.

Given is a pound of bag of sugar that contains 114 teaspoon servings and costs $1.26. A batch of muffins uses 1/2 cup of sugar.

A batch of muffins uses 1/2 cup of sugar. Assume that you can make [n] batches of muffins. In one cup, there are 48 teaspoons. Then, in 114 teaspoons, there will be (114/48) cups

1 batch needs (1/2) cup of sugar. This means that in one cup of sugar you can make 2 batch of muffins. Then, in (114/48) cups of sugar, you can make- (2 x 114/48) or 4.75 batches of muffins.

Therefore, you can make 4.75 batches of muffins from 1 pound of sugar bag.

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The total gallons of sports drink Jaylen made using 9/10 of a large cooler with water and 6 cups of sports drink concentrate is 3.75 gallons

Space remaining = 1 - 9/10

= 10-9 / 10

= 1/10

1/10 = 6 cups

6 cups / total = 1/10

6 × 10 = total × 1

60 cups = total

Cups to gallons:

16 cups = 1 gallon

Total gallons of sport drink, x = 60 cups / 16

= 3.75 gallons

Complete question:

To make a sports drink for the football team, Jaylen filled 9/10 of a large cooler with water. Then, he filled the remaining space with 6 cups of sports drink concentrate. How many gallons of sports drink did Jaylen make?

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Step-by-step explanation:

14 ,16,22,26,30,32

Have a great day

Answer:

\(\boxed {\boxed {\sf 24}}\)

Step-by-step explanation:

We are asked to find the median of the following data set:

The median is the middle number of the data set. It separates the higher half of the set from the lower half. We put the data set in order from least to greatest and find the middle number.

We eliminate a number from each side of the data set until we find the middle number.

However, the data set had 6 numbers, which is an even number. There isn't one middle number, so we must find the average of the middle 2 numbers. Add the numbers and divide by 2.

The median of the data set is 24.

56/120

Step-by-step explanation:

The body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.

Let the body mass of the man be x kg.

The first child's body mass is five-sixths of their father's body mass:

Body mass of the first child = (5/6) * x

= 5x/6 kg.

The second child's body mass is four-fifths of their father's body mass:

Body mass of the second child = (4/5) * x

= 4x/5 kg.

Therefore, the body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

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The measure of side HI is 10.74 for the triangle EFG which is similar to HIJ.

Similar triangles are those triangles which have corresponding sides in proportion to each other and the corresponding angles of two triangles are equal to each other. Similar triangles look the same but they differ in terms of the sizes of the two triangles.

In short, If two triangles are similar that means,

All corresponding angle pairs of triangles will be equal.

All corresponding sides of triangles will be proportional.

Now, it is given in the question that ΔEFG is similar to ΔHIJ then, their corresponding sides will be in proportion.

⇒ GE/EF = HJ/HI

⇒ 19/34 = 6/HI

⇒ HI = 6 x 34/19

⇒ HI = 10.74

Therefore, the measure of side HI is 10.74.

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Answer:

(x+1)^2 + (y-5)^2 = 9

Step-by-step explanation:

center = (h, k)

(x-h)^2 + (y-k)^2 = r^2

(x-(-1))^2 + (y-5)^2 = (3)^2

(x+1)^2 + (y-5)^2 = 9

The three stages of an annealing process in the sequence is  recovery, recrystallisation, and gain growth.

Sequence:

In math, a series is defined as the sum of the elements of a sequence.

Given,

Here we need to find the are the three stages during annealing when  an annealing process is provided for the sample after cold work.

In order to find the stages of the annealing process, first we have to know the definition of annealing process,

A process which is used to enhance ductility and counter the increase in hardness by cold working is known as annealing.

This one is to deal with residual stresses we first can reheat the glass to a high temperature known as annealing point and let it cool slowly so that the outside and inside cool at about the same rate.

And the resultant will have little to no residual stresses making annealed glass.

In the first stage recovery stage of annealing recovers the physical properties of the metals.

Second stage is recrystallisation, and gain growth.

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5th term of an AP = 31

9th term = 59

the sum of the first 14 terms of an arithmetic sequence

We know that,

nth term of an AP – a(n) = a + (n - 1)d

Hence,

⟹ a + (5 - 1)d = 31

⟹ a + 4d = 31 -- equation (1)

Similarly,

⟹ a + (9 - 1)d = 59

⟹ a + 8d = 59 -- equation (2)

Subtract equation (1) from (2).

⟹ a + 8d - ( a + 4d ) = 59 - 31

⟹ a + 8d - a - 4d = 28

⟹ 4d = 28

⟹ d = 28/4

⟹ d = 7

Substitute the value of d in equation (1).

⟹ a + 4(7) = 31

⟹ a + 28 = 31

⟹ a = 31 - 28

⟹ a = 3

Now,

Sum of first n terms of an AP – S(n) = n/2 * [ 2a + (n - 1)d ]

⟹ S(14) = 14/2 * [ 2(3) + (14 - 1)(7) ]

⟹ S(14) = 7 [ 6 + 91 ]

⟹ S(14) = 7 * 97

⟹ S(14) = 679

∴ The sum of first 14 terms of the given AP is 679.

I hope it will help you.

Regards.

Answer:

55

Step-by-step explanation:

180-125= 55

Answer:

55

Step-by-step explanation:

Line DCF is 125. A straight line is 180. So, if you are missing a degree of an angle when you have another angel given to you, then just subtract 180 from the degree that was given. So it's more like this: 180 - 125 = 55.

Answer

x=5 y=2

Step-by-step explanation:

Answer:

Tom

Step-by-step explanation:

After you convert them to decimals 131/593 is 0.22091062394 while 2/9 is 0.22222222222

Answer:

Step-by-step explanation:

First you need to find the area then divide that by 14

the coefficient of determination is 0.7, indicating that the independent variables explain 70% of the variation in the dependent variable.

The coefficient of determination, also known as R-squared, is a measure of how well the independent variables explain the variation in the dependent variable. It is calculated as the ratio of the explained variation to the total variation.

In this case, SST (total sum of squares) is 800 and SSE (error sum of squares) is 240. Therefore, the explained sum of squares (SSE) is 800 - 240 = 560.

The coefficient of determination is then calculated as:

R-squared = explained variation / total variation

R-squared = 560 / 800

R-squared = 0.7

Therefore, the coefficient of determination is 0.7, indicating that the independent variables explain 70% of the variation in the dependent variable.

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The coefficient of determination (R²) in this multiple regression analysis involving 15 independent variables and 200 observations is equal to 0.7.

To find the coefficient of determination, we'll use the following terms:

SST (total sum of squares), SSE (sum of squared errors), and

the formula R² = 1 - (SSE / SST).

the values for SST (800) and SSE (240).

Using the formula, we can calculate the coefficient of determination (R²) as follows:

R² = 1 - (SSE / SST)

R² = 1 - (240 / 800)

R² = 1 - 0.3

R² = 0.7

The coefficient of determination (R²) in this multiple regression analysis involving 15 independent variables and 200 observations is equal to 0.7.

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Using C language, the if statement that decreases the value of shelf_life by 4 if the value of outside_temperature is greater than 90 is:

if(outside_temperature < 90)

  shelf_life -= 4

In this problem, if the value of outside_temperature is greater than 90, the value of shelf_life is decreased by 4, hence, using a programming language such as C, the if statement is:

if(outside_temperature < 90)

  shelf_life -= 4

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The probability that a continuous random variable will be equal to any specific value is zero. This is because the probability of an individual value for a continuous random variable is represented by the area under the probability density function (PDF) at that particular value, and the area of a single point is zero.

Answer:

1) x²=256-64

x=8√3

2). x²=200+81

x=√281

3). x²=169+36

x=√205

3).

Step-by-step explanation:

here's your solution

==> in figure 1,

= perpendicular^2 = hypotenuse^2 - base^2

= x^2 = 16^2 - 8^2

= x^2 = 256 - 64

= x^2 = 192

= x = √192

= x = 13.85

==> in figure 2,

= hypotenuse^2 = Perpendicular^2 + base^2

= x^2 = 40^2 + 9^2

= x^2 = 1600 + 81

= x^2 = 1681

= x = √1681

= x = 41

==> in figure 3,

= hypotenuse^2 = Perpendicular^2 + base^2

= x^2 = 13^2 + 6^2

= x^2 = 169 + 36

= x^2 = 205

= x = √205

= x = 14.31

\(hope \: it \: helps.....\)

The equation to estimate a person's height (in cm) at any given age x (in years) after age 30:

h(x) = h(30) - 0.06(x - 30)

What is the rate?

A rate is a measure of the amount of change of one quantity with respect to another quantity. It is expressed as a ratio of two different units, and it indicates how fast or slow one quantity is changing in relation to another quantity.

If we assume that a person's height decreases by 0.06 cm per year starting at age 30,

we can use the following equation to estimate a person's height (in cm) at any given age x (in years) after age 30:

h(x) = h(30) - 0.06(x - 30)

where h(30) represents the person's height at age 30.

This equation assumes that the rate of height decrease is constant and linear over time.

Hence, the equation to estimate a person's height (in cm) at any given age x (in years) after age 30:

h(x) = h(30) - 0.06(x - 30)

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Answer:

(5/2, 7/5)

Step-by-step explanation:

Answer:

(5/2,7/2)

Step-by-step explanation:

The midpoint formula is

(x1+x2/2),(y1+y2/2)

=(6+(-1)/2), (3+4/2)

=(5/2,7/2)

Answer:

c

Step-by-step explanation:

252 = 7 *36

36 = 6 *6 = 6²

a² -b²  = (a + b)(a - b)

7h² - 252k² =  7(h² - 36k²)

                   = 7(h² - [6k]² )

                  = 7(h  +6k)(h - 6k)

Answer:

cccccccccccccccc

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Hope it helps

Answer:

The number has to be less than 3.

Step-by-step explanation:

Some examples:

3 - (-5) = 3 + 5 = 8, a positive difference

3 - 0 = 3, a positive difference

3 - 1 = 2, a positive difference

3 - 3 = 0, NOT a positive difference. 3 is where the difference switches from positive to negative.

3 - 4 = -1, NOT a positive difference.

The aquarium would have a volume of 103950 cubic inches. Its dimensions are shown  in the image attached.

An aquarium is a container, often made of glass or acrylic, in which aquatic plants and animals are kept for display or research purposes. It can also be a building or room that houses such tanks.

We have been told that the volume of the water that can be held by the aquarium is 450 gallons of water. If we convert the gallons to cubic inches we would obtain 103950 cubic inches. The dimensions of the aquarium must therefore be such that it would a volume of 103950 cubic inches.

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